Oscillation criteria for nonlinear partial difference equations with delays
Wong, P.J.Y. Agarwal, R.P.
Wong, P.J.Y.
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Abstract
We offer sufficient conditions for the oscillation of all solutions of the partial difference equations y(m + 1, n) + β(m, n)y(m, n + 1) - δ(m, n)y(m, n) + P (m, n, y(m - k,n - ℓ)) = Q (m,n,y(m - k,n - ℓ)), and y(m+ 1,n) + β(m, n)y(m, n + 1) - δ(m, n)y(m, n) + τΣi=1 Pi(m, n, y(m - ki, n - ℓi)) i=1 = τΣi=1 Qi (m, n, y(m - ki, n - ℓi)). i=1 Several examples, which dwell upon the importance of our results, are also included.
Keywords
Oscillatory solutions, Partial difference equations
Source Title
Computers and Mathematics with Applications
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Series/Report No.
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Date
1996-09
DOI
10.1016/0898-1221(96)00144-7
Type
Article